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Finding the Third Proportional to 72,637.50 and 158,141

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Solution

The third proportional to 72,637.50 and 158,141 is: 344,292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,637.50 : 158,141 = 158,141 : x
  2. Step 2: Convert to fraction form
    72,637.50/158,141 = 158,141/x
  3. Step 3: Cross multiply
    72,637.50x = 158,141 × 158,141
  4. Step 4: Simplify right side
    72,637.50x = 25,008,575,881
  5. Step 5: Solve for x
    x = 25,008,575,881/72,637.50
  6. Step 6: Final answer
    x = 344,292.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.